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116844000 = 25353713107
BaseRepresentation
bin1101111011011…
…10010111100000
322010212021211120
412331232113200
5214403002000
615332212240
72616105030
oct675562740
9263767746
10116844000
115aa56699
123316a080
131b290580
14117378c0
15a3d06a0
hex6f6e5e0

116844000 has 384 divisors, whose sum is σ = 475517952. Its totient is φ = 24422400.

The previous prime is 116843989. The next prime is 116844001. The reversal of 116844000 is 448611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116844001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091947 + ... + 1092053.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2116844000 is an apocalyptic number.

116844000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

116844000 is an abundant number, since it is smaller than the sum of its proper divisors (358673952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116844000 is a wasteful number, since it uses less digits than its factorization.

116844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 116844000 is about 10809.4403185364. The cubic root of 116844000 is about 488.8798513787.

The spelling of 116844000 in words is "one hundred sixteen million, eight hundred forty-four thousand".